Stability of stochastic Leipholz column with stochastic loading
The nonconservative structural systems are very sensitive to any deviations from the idealised model, including the loadings and system parameters. As a result, the probabilistic description of strength parameters, material properties, geometric boundary conditions, and external loading is necessary. In the paper the Leipholz column is considered which is subjected to random loading in space and has also stochastic material property fluctuations. The tangential loading is considered as an independent one-dimensional, univariate, homogeneous real stochastic field in space. The same considerations are concerned with the fluctuations of Young's modul and mass per unit length. To find the variances of critical loads, a Monte-Carlo simulation technique is formulated using the frequency equation. A numerical example is included which illustrates the applicability of the developed expressions and estimates the effects of various stochastic parameters of the system.
scientific article; zbMATH DE number 95191
scientific article